Question

Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 3 cm. B) A rectangle with a length of 20 cm and a width of 10 cm. C) A rectangle with a length of 18 cm and a width of 9 cm. D) A rectangle with a length of 27 cm and a width of 3 cm.

Answer 1

A rectangle with a length of 9 cm and a width of 3 cm.

Explanation:

In similar rectangles, the ratios of corresponding sides are equal.

`\\(length)/(width)` →
`(21)/(7)` =
`(3)/(1)` and
`(9)/(3)` =
`(3)/(1)`

Answer 2

A) A rectangle with a length of 9 cm and a width of 3 cm

Explanation:

The length to width ratio for the given rectangle is ...

21 cm : 7 cm = 3 : 1

Any similar rectangle will have the same ratio of length to width.

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For the offered choices, the ratios are ...

9:3 = 3:1 . . . . this is the answer

20:10 = 2:1

18:9 = 2:1

27:3 = 9:1